Foundations of a Bicoprime Factorization Theory

Mihalis Tsiakkas, Alexander Lanzon

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    Abstract

    Bicoprime factorizations (BCFs) are a generalization
    of the well known coprime factorizations commonly used in
    control theory. However they have received negligible attention
    from the academic community so far. This paper lays the
    foundations of a BCF theory. The theory is built from the ground
    up, starting with the basic characteristics of such factorizations
    before moving on to state space parameterizations of BCFs
    and internal stability. Some advantages of BCFs are outlined
    including the possibility of reduced dimension internal stability
    tests. An uncertainty structure induced by BCFs is also examined
    and the associated robust stability analysis tests provided. In
    multiple instances it is shown how coprime factor results have
    their roots in the more abstract, and more general, BCFs.
    Original languageEnglish
    JournalIEEE Transactions on Automatic Control
    DOIs
    Publication statusPublished - 31 Oct 2016

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